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 Documentation Ver 1.0.0 August 2011 by
 <a href="http://mmc.geofisica.unam.mx/luiggi">Luis M. de la Cruz</a> <br>
 <a href="http://mmc.geofisica.unam.mx"> GMMC </a> -
 <a href="http://www.geofisica.unam.mx/recnat/"> Depto. de Recursos Naturales </a> -
 <a href="http://www.geofisica.unam.mx"> Instituto de Geof&iacute;sica </a> -
 <a href="http://www.unam.mx"> UNAM </a><br>
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<div class="title">Examples/04HeatDiffusion/oops.cpp</div>  </div>
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<a href="oops_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 
<a name="l00031"></a>00031 <span class="preprocessor">#include &lt;iostream&gt;</span>
<a name="l00032"></a>00032 <span class="preprocessor">#include &lt;sstream&gt;</span>
<a name="l00033"></a>00033 <span class="preprocessor">#include &lt;cmath&gt;</span>
<a name="l00034"></a>00034 <span class="preprocessor">#include &quot;Meshes/Uniform.hpp&quot;</span>
<a name="l00035"></a>00035 <span class="preprocessor">#include &quot;Equations/ScalarEquation.hpp&quot;</span>
<a name="l00036"></a>00036 <span class="preprocessor">#include &quot;Schemes/CDS.hpp&quot;</span>
<a name="l00037"></a>00037 <span class="preprocessor">#include &quot;Solvers/TDMA.hpp&quot;</span>
<a name="l00038"></a>00038 <span class="preprocessor">#include &quot;Utils/inout.hpp&quot;</span> 
<a name="l00039"></a>00039 <span class="preprocessor">#include &quot;Utils/num_utils.hpp&quot;</span>
<a name="l00040"></a>00040 <span class="preprocessor">#include &quot;Utils/GNUplot.hpp&quot;</span>
<a name="l00041"></a>00041 
<a name="l00042"></a>00042 <span class="keyword">using namespace </span>Tuna;
<a name="l00043"></a>00043 
<a name="l00044"></a>00044 <span class="comment">// Scalar field in two dimension</span>
<a name="l00045"></a>00045 <span class="keyword">typedef</span> <a class="code" href="structTuna_1_1TunaArray.html#af3bcab5018eec3d7697c9fb03ad89157" title="Definition of big arrays to store scalar fields on meshes.">TunaArray&lt;double,2&gt;::huge</a> ScalarField2D;
<a name="l00046"></a>00046 
<a name="l00047"></a>00047 <span class="keywordtype">void</span> initialConditionForTemperature(ScalarField2D &amp;T)
<a name="l00048"></a>00048 {
<a name="l00049"></a>00049     <span class="keywordtype">double</span> data[1600];
<a name="l00050"></a>00050     ifstream fp(<span class="stringliteral">&quot;./DataOOPS/OOPS_Data&quot;</span>);
<a name="l00051"></a>00051     <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 19; j &gt;= 0; --j)
<a name="l00052"></a>00052         <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i &lt; 80; ++i)
<a name="l00053"></a>00053             fp &gt;&gt; T(i,j);
<a name="l00054"></a>00054 }
<a name="l00055"></a>00055 
<a name="l00056"></a>00056 <span class="keywordtype">int</span> main() 
<a name="l00057"></a>00057 {
<a name="l00058"></a>00058     <span class="keywordtype">double</span> length_x = 4, length_y = 1;
<a name="l00059"></a>00059     <span class="keywordtype">int</span> num_nodes_x = 80, num_nodes_y = 20;
<a name="l00060"></a>00060     <span class="keywordtype">double</span> tolerance = 1e-5, dt = 1.0e-4;
<a name="l00061"></a>00061     <span class="keywordtype">int</span> frequency = 1;
<a name="l00062"></a>00062 
<a name="l00063"></a>00063     <a class="code" href="classTuna_1_1StructuredMesh.html" title="General structured meshes on rectangular domains.">StructuredMesh&lt;Uniform&lt;double, 2&gt;</a> &gt; mesh(length_x, num_nodes_x,
<a name="l00064"></a>00064                                              length_y, num_nodes_y);
<a name="l00065"></a>00065     <span class="keywordtype">double</span> dx = mesh.getDelta(X);
<a name="l00066"></a>00066     <span class="keywordtype">double</span> dy = mesh.getDelta(Y);
<a name="l00067"></a>00067     mesh.print();
<a name="l00068"></a>00068 
<a name="l00069"></a>00069     ScalarField2D T(mesh.getExtentVolumes()); 
<a name="l00070"></a>00070     ScalarField2D Tn(mesh.getExtentNodes());
<a name="l00071"></a>00071     initialConditionForTemperature(Tn);
<a name="l00072"></a>00072 
<a name="l00073"></a>00073 
<a name="l00074"></a>00074     NumUtils::interpolateToVolumes(T, Tn);
<a name="l00075"></a>00075 
<a name="l00076"></a>00076 <span class="preprocessor">#ifdef WITH_DX</span>
<a name="l00077"></a>00077 <span class="preprocessor"></span>    InOut::writeToFile_DX(Tn, 0, <span class="stringliteral">&quot;./DataOOPS/temp.&quot;</span>, dx, dy);
<a name="l00078"></a>00078 <span class="preprocessor">#endif</span>
<a name="l00079"></a>00079 <span class="preprocessor"></span>
<a name="l00080"></a>00080 <span class="preprocessor">#ifdef WITH_GNUPLOT</span>
<a name="l00081"></a>00081 <span class="preprocessor"></span>    InOut::writeToFile(Tn, 0, <span class="stringliteral">&quot;./DataOOPS/temp.&quot;</span>, dx, dy);
<a name="l00082"></a>00082     GNUplot plotter;
<a name="l00083"></a>00083     plotter(<span class="stringliteral">&quot;set contour&quot;</span>);
<a name="l00084"></a>00084     plotter(<span class="stringliteral">&quot;set cntrparam level 20&quot;</span>);
<a name="l00085"></a>00085     plotter(<span class="stringliteral">&quot;set grid&quot;</span>);
<a name="l00086"></a>00086     plotter(<span class="stringliteral">&quot;splot [][][0:1]\&quot;./DataOOPS/temp.00000\&quot; title \&quot;OOPS!\&quot; w l&quot;</span>);
<a name="l00087"></a>00087     std::cout &lt;&lt; <span class="stringliteral">&quot;\n &gt;---&gt; Press &lt;1&gt; and then &lt;enter&gt; to continue \n&quot;</span>;
<a name="l00088"></a>00088     <span class="keywordtype">int</span> pause; std::cin &gt;&gt; pause;
<a name="l00089"></a>00089 <span class="preprocessor">#endif</span>
<a name="l00090"></a>00090 <span class="preprocessor"></span>    SparseMatrix&lt; Diagonal &lt;double, 2&gt; &gt; A(num_nodes_x, num_nodes_y); 
<a name="l00091"></a>00091 
<a name="l00092"></a>00092     ScalarField2D               b(num_nodes_x, num_nodes_y);
<a name="l00093"></a>00093 
<a name="l00094"></a>00094     <a class="code" href="classTuna_1_1ScalarEquation.html" title="This class derives from GeneralEquation through B &amp; N trick.">ScalarEquation&lt; CDS&lt;double, 2&gt;</a> &gt; oops_eq(T, A, b, mesh.getDeltas());
<a name="l00095"></a>00095     oops_eq.setDeltaTime(dt);
<a name="l00096"></a>00096     oops_eq.setGamma(1.0);
<a name="l00097"></a>00097     oops_eq.setDirichlet(LEFT_WALL);
<a name="l00098"></a>00098     oops_eq.setDirichlet(RIGHT_WALL);
<a name="l00099"></a>00099     oops_eq.setDirichlet(BOTTOM_WALL);
<a name="l00100"></a>00100     oops_eq.setDirichlet(TOP_WALL);
<a name="l00101"></a>00101     oops_eq.print();
<a name="l00102"></a>00102 
<a name="l00103"></a>00103     ofstream error_fp(<span class="stringliteral">&quot;./DataOOPS/error&quot;</span>), residual_fp(<span class="stringliteral">&quot;./DataOOPS/residual&quot;</span>);
<a name="l00104"></a>00104     <span class="keywordtype">int</span> iteration = 0;
<a name="l00105"></a>00105     <span class="keywordtype">double</span> errorcillo = 1.0, residual = 1.0;
<a name="l00106"></a>00106     
<a name="l00107"></a>00107     <span class="keywordflow">while</span> (errorcillo &gt; tolerance) {
<a name="l00108"></a>00108         oops_eq.calcCoefficients();
<a name="l00109"></a>00109         Solver::TDMA2DX(oops_eq, tolerance, 10);
<a name="l00110"></a>00110         errorcillo = NumUtils::calcErrorL1(T, oops_eq.phi);
<a name="l00111"></a>00111         residual = oops_eq.calcResidual();
<a name="l00112"></a>00112 
<a name="l00113"></a>00113         error_fp &lt;&lt; iteration &lt;&lt; <span class="stringliteral">&quot;\t&quot;</span> &lt;&lt; errorcillo &lt;&lt; endl;
<a name="l00114"></a>00114         residual_fp &lt;&lt; iteration &lt;&lt; <span class="stringliteral">&quot;\t&quot;</span> &lt;&lt; residual &lt;&lt; endl;
<a name="l00115"></a>00115         
<a name="l00116"></a>00116         cout &lt;&lt; <span class="stringliteral">&quot;\n ---- Iteration &quot;</span> &lt;&lt; ++iteration
<a name="l00117"></a>00117              &lt;&lt; <span class="stringliteral">&quot; Residual = &quot;</span> &lt;&lt; residual 
<a name="l00118"></a>00118              &lt;&lt; <span class="stringliteral">&quot; Error = &quot;</span> &lt;&lt; errorcillo;
<a name="l00119"></a>00119         
<a name="l00120"></a>00120         oops_eq.update();
<a name="l00121"></a>00121         <span class="keywordflow">if</span> ( !(iteration % frequency) ) {
<a name="l00122"></a>00122           NumUtils::interpolateToNodes(Tn, T);
<a name="l00123"></a>00123 
<a name="l00124"></a>00124 <span class="preprocessor">#ifdef WITH_DX</span>
<a name="l00125"></a>00125 <span class="preprocessor"></span>          InOut::writeToFile_DX(Tn, iteration, <span class="stringliteral">&quot;./DataOOPS/temp.&quot;</span>, dx, dy);
<a name="l00126"></a>00126 <span class="preprocessor">#endif</span>
<a name="l00127"></a>00127 <span class="preprocessor"></span>
<a name="l00128"></a>00128 <span class="preprocessor">#ifdef WITH_GNUPLOT</span>
<a name="l00129"></a>00129 <span class="preprocessor"></span>          InOut::writeToFile(Tn, iteration, <span class="stringliteral">&quot;./DataOOPS/temp.&quot;</span>, dx, dy);
<a name="l00130"></a>00130 <span class="preprocessor">#endif</span>
<a name="l00131"></a>00131 <span class="preprocessor"></span>        }
<a name="l00132"></a>00132     }
<a name="l00133"></a>00133     
<a name="l00134"></a>00134     
<a name="l00135"></a>00135 <span class="preprocessor">#ifdef WITH_GNUPLOT</span>
<a name="l00136"></a>00136 <span class="preprocessor"></span>    std::cout &lt;&lt; <span class="stringliteral">&quot;\n &gt;---&gt; Press &lt;1&gt; and then &lt;enter&gt; to plot the solution \n&quot;</span>;
<a name="l00137"></a>00137     std::cin &gt;&gt; pause;  
<a name="l00138"></a>00138     <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i &lt; iteration; i += frequency) {
<a name="l00139"></a>00139       std::string name = <span class="stringliteral">&quot;./DataOOPS/temp.&quot;</span>;
<a name="l00140"></a>00140       std::ostringstream extnumber;
<a name="l00141"></a>00141       extnumber.width(5);
<a name="l00142"></a>00142       extnumber.fill(<span class="charliteral">&#39;0&#39;</span>);
<a name="l00143"></a>00143       extnumber &lt;&lt; i;
<a name="l00144"></a>00144       name += extnumber.str();
<a name="l00145"></a>00145       std::string command = <span class="stringliteral">&quot;splot [][][0:1] \&quot;&quot;</span> + name + <span class="stringliteral">&quot;\&quot; w l&quot;</span>;
<a name="l00146"></a>00146       plotter(command);
<a name="l00147"></a>00147     }
<a name="l00148"></a>00148 <span class="preprocessor">#endif</span>
<a name="l00149"></a>00149 <span class="preprocessor"></span>
<a name="l00150"></a>00150 <span class="preprocessor">#ifdef WITH_DX</span>
<a name="l00151"></a>00151 <span class="preprocessor"></span>  std::cout &lt;&lt; <span class="stringliteral">&quot;\n\n NOTE: The data were written in the [./DataOOPS] directory in DX format&quot;</span>;
<a name="l00152"></a>00152 <span class="preprocessor">#endif</span>
<a name="l00153"></a>00153 <span class="preprocessor"></span>
<a name="l00154"></a>00154     <span class="keywordflow">return</span> 0;
<a name="l00155"></a>00155 }
<a name="l00156"></a>00156 
<a name="l00157"></a>00157 
<a name="l00158"></a>00158 
<a name="l00159"></a>00159 
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